Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

A Chaotic Bio-Mechanics Model for the Optimization of Dairy Industry

Version 1 : Received: 21 February 2022 / Approved: 22 February 2022 / Online: 22 February 2022 (11:42:50 CET)
Version 2 : Received: 23 February 2022 / Approved: 24 February 2022 / Online: 24 February 2022 (09:57:02 CET)

How to cite: Liu, M.; Meng, K.; Mei, S.; Xing, R. A Chaotic Bio-Mechanics Model for the Optimization of Dairy Industry. Preprints 2022, 2022020277. https://doi.org/10.20944/preprints202202.0277.v1 Liu, M.; Meng, K.; Mei, S.; Xing, R. A Chaotic Bio-Mechanics Model for the Optimization of Dairy Industry. Preprints 2022, 2022020277. https://doi.org/10.20944/preprints202202.0277.v1

Abstract

In the dairy industry a fundamental role is played by an efficient milk production, therefore even a slight shrinking in the production might have a significant consequence both on the industry profits and on the society. Milk is, in fact, one of the most common foods, and a fundamental support in the nutrition so that the lacking of milk should be avoided. An efficient milk production depends on various factors, but in particular it depends on the good health and supply of the dairy cow. However, in order to increase the milk production, cows are overfeed thus increasing their weight. Unfortunately, the overweight of the cows might easily damage their bones. In particular, the knee bones are fragile and they can easily swell and break. In order to analyze the knee bones and to compute a threshold leading to a damage, in this paper we study a bio-mechanical model of the knee joint and study the corresponding dynamical system. A novel dynamical model of dairy cow leg is constructed, in which the knee is represented by a complex structure of sliding and rolling. Then, the dynamic characteristics of the structure is analyzed by some numerical simulation. The results of the experiments shows that the solutions of the dynamical system might lead to a chaotic behavior. The evolution to chaos it explains the rising of various pathological features thus reducing the milk production.

Keywords

Dairy cow; Lyapunov exponent; bio-mechanical model; Nonlinear dynamics; gait; Weight scale; Three-link model; Fractals

Subject

Physical Sciences, Mathematical Physics

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